2020/06/01 by S. Luo · 1 citation
Physics and Astronomy · #Quantum chaos and dynamical systems #Nuclear physics research studies #Astro and Planetary Science
paper · doi:10.1088/2399-6528/ab9c30
openalex publication_date 2020/06/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/05/21
Abstract The two-body system is of great interest and complexity. To study the evolution of the two-body system under the influence of torque, a new Sturm-Liouville equation <?CDATA (Lu^′ )^′ +Lu=\tfrac1L?> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:msup> <mml:mrow> <mml:mfenced close=")" open="("> <mml:mrow> <mml:msup> <mml:mrow> <mml:mi mathvariant="italic">Lu</mml:mi> </mml:mrow> <mml:mrow> <mml:mo accent="true">′</mml:mo> </mml:mrow> </mml:msup> </mml:mrow> </mml:mfenced> </mml:mrow> <mml:mrow> <mml:mo accent="true">′</mml:mo> </mml:mrow> </mml:msup> <mml:mo>+</mml:mo> <mml:mi mathvariant="italic">Lu</mml:mi> <mml:mo>=</mml:mo> <mml:mstyle displaystyle="false"> <mml:mfrac> <mml:mrow> <mml:mn>1</mml:mn> </mml:mrow> <mml:mrow> <mml:mi>L</mml:mi> </mml:mrow> </mml:mfrac> </mml:mstyle> </mml:math> is derived from the Newtonian mechanism. Its solutions and the eigenvalue problem are investigated.